NC Automorphisms of nc-bounded domains

2015/02/24 by John E. McCarthy, McCarthy, John E., Richard M. Timoney +1
Mathematics · #Advanced Topics in Algebra #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #math.CV #math.OA #msc:46L52

paper · pdf · doi:10.48550/arxiv.1502.07676

arxiv created 2015/02/24 · arxiv updated 2015/02/27

Abstract

We establish rigidity (or uniqueness) theorems for nc automorphisms which are natural extensions of clasical results of H.~Cartan and are improvements of recent results. We apply our results to nc-domains consisting of unit balls of rectangular matrices.

Related

• Characterization of domains in \mathbb Cⁿ by their noncompact automorphism groups
• On the linearity of origin-preserving automorphisms of quasi-circular domains in \mathbb Cⁿ
• Domains with Non-Compact Automorphism Group: A Survey
• On automorphisms of quasi-circular domains fixing the origin
• Automorphisms of ℂ^m with bounded wandering domains